ˈbalancing ˌact noun [countable usually singular]
when you are trying to please two or more people or groups who all want different things, or who have ideas that are completely different from each other:
Gilmore had to perform the difficult balancing act of attracting moderate voters without losing his Conservative base.

[TahlilGaran] Dictionary of Contemporary English ▲

balancing act
a difficult situation in which you try to achieve several different things at the same time.
It's so exhausting having to perform the balancing act between work and family.

Keeping both sides in the dispute happy was a difficult juggling act which required an extraordinary degree of diplomacy.

[TahlilGaran] English Idioms Dictionary ▲